Magic State Factory Catalog

[\![62,\,4,\,3]\!]

One factory with n=62 inputs, k=4 outputs and distance d=3.

Inequivalent gates at [[62, 4, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3} pure T2.49512d = 3Shi et al. (2024)

Same n and k at other distances: [\![62,\,4,\,2]\!]
Nearest lengths with the same k and d: [\![63,\,4,\,3]\!] · [\![60,\,4,\,3]\!] · [\![64,\,4,\,3]\!] · [\![59,\,4,\,3]\!] · [\![58,\,4,\,3]\!] · [\![66,\,4,\,3]\!] · [\![67,\,4,\,3]\!] · [\![56,\,4,\,3]\!] · [\![68,\,4,\,3]\!] · [\![55,\,4,\,3]\!] · [\![54,\,4,\,3]\!] · [\![71,\,4,\,3]\!]